/*************************************************************************
* This function is the entry point of refinement
**************************************************************************/
void Refine2Way(CtrlType *ctrl, GraphType *orggraph, GraphType *graph, int *tpwgts, float ubfactor)
{
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->UncoarsenTmr));
/* Compute the parameters of the coarsest graph */
Compute2WayPartitionParams(ctrl, graph);
for (;;) {
ASSERT(CheckBnd(graph));
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->RefTmr));
switch (ctrl->RType) {
case 1:
Balance2Way(ctrl, graph, tpwgts, ubfactor);
FM_2WayEdgeRefine(ctrl, graph, tpwgts, 8);
break;
default:
errexit("Unknown refinement type: %d\n", ctrl->RType);
}
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->RefTmr));
if (graph == orggraph)
break;
graph = graph->finer;
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ProjectTmr));
Project2WayPartition(ctrl, graph);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ProjectTmr));
}
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->UncoarsenTmr));
}
void Refine2Way(ctrl_t *ctrl, graph_t *orggraph, graph_t *graph, real_t *tpwgts)
{
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startcputimer(ctrl->UncoarsenTmr));
/* Compute the parameters of the coarsest graph */
Compute2WayPartitionParams(ctrl, graph);
for (;;) {
ASSERT(CheckBnd(graph));
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startcputimer(ctrl->RefTmr));
Balance2Way(ctrl, graph, tpwgts);
FM_2WayRefine(ctrl, graph, tpwgts, ctrl->niter);
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopcputimer(ctrl->RefTmr));
if (graph == orggraph)
break;
graph = graph->finer;
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startcputimer(ctrl->ProjectTmr));
Project2WayPartition(ctrl, graph);
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopcputimer(ctrl->ProjectTmr));
}
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopcputimer(ctrl->UncoarsenTmr));
}
/*************************************************************************
* This function performs multilevel bisection
**************************************************************************/
void MlevelNodeBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor)
{
GraphType *cgraph;
ctrl->CoarsenTo = graph->nvtxs/8;
if (ctrl->CoarsenTo > 100)
ctrl->CoarsenTo = 100;
else if (ctrl->CoarsenTo < 40)
ctrl->CoarsenTo = 40;
ctrl->maxvwgt = 1.5*((tpwgts[0]+tpwgts[1])/ctrl->CoarsenTo);
cgraph = Coarsen2Way(ctrl, graph);
switch (ctrl->IType) {
case IPART_GGPKL:
Init2WayPartition(ctrl, cgraph, tpwgts, ubfactor);
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SepTmr));
Compute2WayPartitionParams(ctrl, cgraph);
ConstructSeparator(ctrl, cgraph, ubfactor);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SepTmr));
break;
case IPART_GGPKLNODE:
InitSeparator(ctrl, cgraph, ubfactor);
break;
}
Refine2WayNode(ctrl, graph, cgraph, ubfactor);
}
void GrowBisectionNode2(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, j, k, nvtxs, bestcut=0, mincut, inbfs;
idx_t *xadj, *where, *bndind, *bestwhere;
WCOREPUSH;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
/* Allocate refinement memory. Allocate sufficient memory for both edge and node */
graph->pwgts = imalloc(3, "GrowBisectionNode: pwgts");
graph->where = imalloc(nvtxs, "GrowBisectionNode: where");
graph->bndptr = imalloc(nvtxs, "GrowBisectionNode: bndptr");
graph->bndind = imalloc(nvtxs, "GrowBisectionNode: bndind");
graph->id = imalloc(nvtxs, "GrowBisectionNode: id");
graph->ed = imalloc(nvtxs, "GrowBisectionNode: ed");
graph->nrinfo = (nrinfo_t *)gk_malloc(nvtxs*sizeof(nrinfo_t), "GrowBisectionNode: nrinfo");
bestwhere = iwspacemalloc(ctrl, nvtxs);
where = graph->where;
bndind = graph->bndind;
for (inbfs=0; inbfs<niparts; inbfs++) {
iset(nvtxs, 1, where);
if (inbfs > 0)
where[irandInRange(nvtxs)] = 0;
Compute2WayPartitionParams(ctrl, graph);
General2WayBalance(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
/* Construct and refine the vertex separator */
for (i=0; i<graph->nbnd; i++) {
j = bndind[i];
if (xadj[j+1]-xadj[j] > 0) /* ignore islands */
where[j] = 2;
}
Compute2WayNodePartitionParams(ctrl, graph);
FM_2WayNodeRefine2Sided(ctrl, graph, 4);
/*
printf("ISep: [%"PRIDX" %"PRIDX" %"PRIDX" %"PRIDX"] %"PRIDX"\n",
inbfs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2], bestcut);
*/
if (inbfs == 0 || bestcut > graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
void McRandomBisection(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, ii, j, k, nvtxs, ncon, from, bestcut=0, mincut, inbfs, qnum;
idx_t *bestwhere, *where, *perm, *counts;
idx_t *vwgt;
WCOREPUSH;
nvtxs = graph->nvtxs;
ncon = graph->ncon;
vwgt = graph->vwgt;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = iwspacemalloc(ctrl, nvtxs);
perm = iwspacemalloc(ctrl, nvtxs);
counts = iwspacemalloc(ctrl, ncon);
for (inbfs=0; inbfs<2*niparts; inbfs++) {
irandArrayPermute(nvtxs, perm, nvtxs/2, 1);
iset(ncon, 0, counts);
/* partition by spliting the queues randomly */
for (ii=0; ii<nvtxs; ii++) {
i = perm[ii];
qnum = iargmax(ncon, vwgt+i*ncon);
where[i] = (counts[qnum]++)%2;
}
Compute2WayPartitionParams(ctrl, graph);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
Balance2Way(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
Balance2Way(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
if (inbfs == 0 || bestcut >= graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
void InitSeparator(ctrl_t *ctrl, graph_t *graph, idx_t niparts)
{
real_t ntpwgts[2] = {0.5, 0.5};
mdbglvl_et dbglvl;
dbglvl = ctrl->dbglvl;
IFSET(ctrl->dbglvl, METIS_DBG_REFINE, ctrl->dbglvl -= METIS_DBG_REFINE);
IFSET(ctrl->dbglvl, METIS_DBG_MOVEINFO, ctrl->dbglvl -= METIS_DBG_MOVEINFO);
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startcputimer(ctrl->InitPartTmr));
/* this is required for the cut-based part of the refinement */
Setup2WayBalMultipliers(ctrl, graph, ntpwgts);
switch (ctrl->iptype) {
case METIS_IPTYPE_EDGE:
if (graph->nedges == 0)
RandomBisection(ctrl, graph, ntpwgts, niparts);
else
GrowBisection(ctrl, graph, ntpwgts, niparts);
Compute2WayPartitionParams(ctrl, graph);
ConstructSeparator(ctrl, graph);
break;
case METIS_IPTYPE_NODE:
GrowBisectionNode(ctrl, graph, ntpwgts, niparts);
break;
default:
gk_errexit(SIGERR, "Unkown iptype of %"PRIDX"\n", ctrl->iptype);
}
IFSET(ctrl->dbglvl, METIS_DBG_IPART, printf("Initial Sep: %"PRIDX"\n", graph->mincut));
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopcputimer(ctrl->InitPartTmr));
ctrl->dbglvl = dbglvl;
}
void McGrowBisection(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, j, k, nvtxs, ncon, from, bestcut=0, mincut, inbfs;
idx_t *bestwhere, *where;
WCOREPUSH;
nvtxs = graph->nvtxs;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = iwspacemalloc(ctrl, nvtxs);
for (inbfs=0; inbfs<2*niparts; inbfs++) {
iset(nvtxs, 1, where);
where[irandInRange(nvtxs)] = 0;
Compute2WayPartitionParams(ctrl, graph);
Balance2Way(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
Balance2Way(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
if (inbfs == 0 || bestcut >= graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
/*************************************************************************
* This function takes a graph and produces a bisection by using a region
* growing algorithm. The resulting partition is returned in
* graph->where
**************************************************************************/
void GrowBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor)
{
int i, j, k, nvtxs, drain, nleft, first, last, pwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs;
idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where;
idxtype *queue, *touched, *gain, *bestwhere;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
vwgt = graph->vwgt;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere");
queue = idxmalloc(nvtxs, "BisectGraph: queue");
touched = idxmalloc(nvtxs, "BisectGraph: touched");
ASSERTP(tpwgts[0]+tpwgts[1] == idxsum(nvtxs, vwgt), ("%d %d\n", tpwgts[0]+tpwgts[1], idxsum(nvtxs, vwgt)));
maxpwgt[0] = ubfactor*tpwgts[0];
maxpwgt[1] = ubfactor*tpwgts[1];
minpwgt[0] = (1.0/ubfactor)*tpwgts[0];
minpwgt[1] = (1.0/ubfactor)*tpwgts[1];
nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS);
bestcut = idxsum(nvtxs, graph->adjwgtsum)+1; /* The +1 is for the 0 edges case */
for (; nbfs>0; nbfs--) {
idxset(nvtxs, 0, touched);
pwgts[1] = tpwgts[0]+tpwgts[1];
pwgts[0] = 0;
idxset(nvtxs, 1, where);
queue[0] = RandomInRange(nvtxs);
touched[queue[0]] = 1;
first = 0; last = 1;
nleft = nvtxs-1;
drain = 0;
/* Start the BFS from queue to get a partition */
for (;;) {
if (first == last) { /* Empty. Disconnected graph! */
if (nleft == 0 || drain)
break;
k = RandomInRange(nleft);
for (i=0; i<nvtxs; i++) {
if (touched[i] == 0) {
if (k == 0)
break;
else
k--;
}
}
queue[0] = i;
touched[i] = 1;
first = 0; last = 1;;
nleft--;
}
i = queue[first++];
if (pwgts[0] > 0 && pwgts[1]-vwgt[i] < minpwgt[1]) {
drain = 1;
continue;
}
where[i] = 0;
INC_DEC(pwgts[0], pwgts[1], vwgt[i]);
if (pwgts[1] <= maxpwgt[1])
break;
drain = 0;
for (j=xadj[i]; j<xadj[i+1]; j++) {
k = adjncy[j];
if (touched[k] == 0) {
queue[last++] = k;
touched[k] = 1;
nleft--;
}
}
}
/* Check to see if we hit any bad limiting cases */
if (pwgts[1] == 0) {
i = RandomInRange(nvtxs);
where[i] = 1;
INC_DEC(pwgts[1], pwgts[0], vwgt[i]);
}
/*************************************************************
* Do some partition refinement
**************************************************************/
Compute2WayPartitionParams(ctrl, graph);
/*printf("IPART: %3d [%5d %5d] [%5d %5d] %5d\n", graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut); */
Balance2Way(ctrl, graph, tpwgts, ubfactor);
/*printf("BPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut);*/
FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4);
/*printf("RPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut);*/
if (bestcut > graph->mincut) {
bestcut = graph->mincut;
idxcopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
idxcopy(nvtxs, bestwhere, where);
GKfree(&bestwhere, &queue, &touched, LTERM);
}
/*************************************************************************
* This function takes a graph and produces a bisection by using a region
* growing algorithm. The resulting partition is returned in
* graph->where
**************************************************************************/
void RandomBisection(CtrlType *ctrl, GraphType *graph, int *tpwgts, float ubfactor)
{
int i, ii, j, k, nvtxs, pwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs;
idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where;
idxtype *perm, *bestwhere;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
vwgt = graph->vwgt;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere");
perm = idxmalloc(nvtxs, "BisectGraph: queue");
ASSERTP(tpwgts[0]+tpwgts[1] == idxsum(nvtxs, vwgt), ("%d %d\n", tpwgts[0]+tpwgts[1], idxsum(nvtxs, vwgt)));
maxpwgt[0] = ubfactor*tpwgts[0];
maxpwgt[1] = ubfactor*tpwgts[1];
minpwgt[0] = (1.0/ubfactor)*tpwgts[0];
minpwgt[1] = (1.0/ubfactor)*tpwgts[1];
nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS);
bestcut = idxsum(nvtxs, graph->adjwgtsum)+1; /* The +1 is for the 0 edges case */
for (; nbfs>0; nbfs--) {
RandomPermute(nvtxs, perm, 1);
idxset(nvtxs, 1, where);
pwgts[1] = tpwgts[0]+tpwgts[1];
pwgts[0] = 0;
if (nbfs != 1) {
for (ii=0; ii<nvtxs; ii++) {
i = perm[ii];
if (pwgts[0]+vwgt[i] < maxpwgt[0]) {
where[i] = 0;
pwgts[0] += vwgt[i];
pwgts[1] -= vwgt[i];
if (pwgts[0] > minpwgt[0])
break;
}
}
}
/*************************************************************
* Do some partition refinement
**************************************************************/
Compute2WayPartitionParams(ctrl, graph);
/* printf("IPART: %3d [%5d %5d] [%5d %5d] %5d\n", graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut); */
Balance2Way(ctrl, graph, tpwgts, ubfactor);
/* printf("BPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */
FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4);
/* printf("RPART: [%5d %5d] %5d\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */
if (bestcut > graph->mincut) {
bestcut = graph->mincut;
idxcopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
idxcopy(nvtxs, bestwhere, where);
GKfree(&bestwhere, &perm, LTERM);
}
/*************************************************************************
* This function takes a graph and produces a bisection by using a region
* growing algorithm. The resulting partition is returned in
* graph->where
**************************************************************************/
void GrowBisectionNode(CtrlType *ctrl, GraphType *graph, float ubfactor)
{
int i, j, k, nvtxs, drain, nleft, first, last, pwgts[2], tpwgts[2], minpwgt[2], maxpwgt[2], from, bestcut, icut, mincut, me, pass, nbfs;
idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *bndind;
idxtype *queue, *touched, *gain, *bestwhere;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
vwgt = graph->vwgt;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
bestwhere = idxmalloc(nvtxs, "BisectGraph: bestwhere");
queue = idxmalloc(nvtxs, "BisectGraph: queue");
touched = idxmalloc(nvtxs, "BisectGraph: touched");
tpwgts[0] = idxsum(nvtxs, vwgt);
tpwgts[1] = tpwgts[0]/2;
tpwgts[0] -= tpwgts[1];
maxpwgt[0] = ubfactor*tpwgts[0];
maxpwgt[1] = ubfactor*tpwgts[1];
minpwgt[0] = (1.0/ubfactor)*tpwgts[0];
minpwgt[1] = (1.0/ubfactor)*tpwgts[1];
/* Allocate memory for graph->rdata. Allocate sufficient memory for both edge and node */
graph->rdata = idxmalloc(5*nvtxs+3, "GrowBisectionNode: graph->rdata");
graph->pwgts = graph->rdata;
graph->where = graph->rdata + 3;
graph->bndptr = graph->rdata + nvtxs + 3;
graph->bndind = graph->rdata + 2*nvtxs + 3;
graph->nrinfo = (NRInfoType *)(graph->rdata + 3*nvtxs + 3);
graph->id = graph->rdata + 3*nvtxs + 3;
graph->ed = graph->rdata + 4*nvtxs + 3;
where = graph->where;
bndind = graph->bndind;
nbfs = (nvtxs <= ctrl->CoarsenTo ? SMALLNIPARTS : LARGENIPARTS);
bestcut = tpwgts[0]+tpwgts[1];
for (nbfs++; nbfs>0; nbfs--) {
idxset(nvtxs, 0, touched);
pwgts[1] = tpwgts[0]+tpwgts[1];
pwgts[0] = 0;
idxset(nvtxs, 1, where);
queue[0] = RandomInRange(nvtxs);
touched[queue[0]] = 1;
first = 0; last = 1;
nleft = nvtxs-1;
drain = 0;
/* Start the BFS from queue to get a partition */
if (nbfs >= 1) {
for (;;) {
if (first == last) { /* Empty. Disconnected graph! */
if (nleft == 0 || drain)
break;
k = RandomInRange(nleft);
for (i=0; i<nvtxs; i++) {
if (touched[i] == 0) {
if (k == 0)
break;
else
k--;
}
}
queue[0] = i;
touched[i] = 1;
first = 0; last = 1;;
nleft--;
}
i = queue[first++];
if (pwgts[1]-vwgt[i] < minpwgt[1]) {
drain = 1;
continue;
}
where[i] = 0;
INC_DEC(pwgts[0], pwgts[1], vwgt[i]);
if (pwgts[1] <= maxpwgt[1])
break;
drain = 0;
for (j=xadj[i]; j<xadj[i+1]; j++) {
k = adjncy[j];
if (touched[k] == 0) {
queue[last++] = k;
touched[k] = 1;
nleft--;
}
}
}
}
/*************************************************************
* Do some partition refinement
**************************************************************/
Compute2WayPartitionParams(ctrl, graph);
Balance2Way(ctrl, graph, tpwgts, ubfactor);
FM_2WayEdgeRefine(ctrl, graph, tpwgts, 4);
/* Construct and refine the vertex separator */
for (i=0; i<graph->nbnd; i++)
where[bndind[i]] = 2;
Compute2WayNodePartitionParams(ctrl, graph);
FM_2WayNodeRefine(ctrl, graph, ubfactor, 6);
/* printf("ISep: [%d %d %d] %d\n", graph->pwgts[0], graph->pwgts[1], graph->pwgts[2], bestcut); */
if (bestcut > graph->mincut) {
bestcut = graph->mincut;
idxcopy(nvtxs, where, bestwhere);
}
}
graph->mincut = bestcut;
idxcopy(nvtxs, bestwhere, where);
Compute2WayNodePartitionParams(ctrl, graph);
GKfree(&bestwhere, &queue, &touched, LTERM);
}
void GrowBisectionNode(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, j, k, nvtxs, drain, nleft, first, last, pwgts[2], oneminpwgt,
onemaxpwgt, from, me, bestcut=0, icut, mincut, inbfs;
idx_t *xadj, *vwgt, *adjncy, *where, *bndind;
idx_t *queue, *touched, *gain, *bestwhere;
WCOREPUSH;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
vwgt = graph->vwgt;
adjncy = graph->adjncy;
// adjwgt = graph->adjwgt;
bestwhere = iwspacemalloc(ctrl, nvtxs);
queue = iwspacemalloc(ctrl, nvtxs);
touched = iwspacemalloc(ctrl, nvtxs);
onemaxpwgt = ctrl->ubfactors[0]*graph->tvwgt[0]*0.5;
oneminpwgt = (1.0/ctrl->ubfactors[0])*graph->tvwgt[0]*0.5;
/* Allocate refinement memory. Allocate sufficient memory for both edge and node */
graph->pwgts = imalloc(3, "GrowBisectionNode: pwgts");
graph->where = imalloc(nvtxs, "GrowBisectionNode: where");
graph->bndptr = imalloc(nvtxs, "GrowBisectionNode: bndptr");
graph->bndind = imalloc(nvtxs, "GrowBisectionNode: bndind");
graph->id = imalloc(nvtxs, "GrowBisectionNode: id");
graph->ed = imalloc(nvtxs, "GrowBisectionNode: ed");
graph->nrinfo = (nrinfo_t *)gk_malloc(nvtxs*sizeof(nrinfo_t), "GrowBisectionNode: nrinfo");
where = graph->where;
bndind = graph->bndind;
for (inbfs=0; inbfs<niparts; inbfs++) {
iset(nvtxs, 1, where);
iset(nvtxs, 0, touched);
pwgts[1] = graph->tvwgt[0];
pwgts[0] = 0;
queue[0] = irandInRange(nvtxs);
touched[queue[0]] = 1;
first = 0; last = 1;
nleft = nvtxs-1;
drain = 0;
/* Start the BFS from queue to get a partition */
for (;;) {
if (first == last) { /* Empty. Disconnected graph! */
if (nleft == 0 || drain)
break;
k = irandInRange(nleft);
for (i=0; i<nvtxs; i++) { /* select the kth untouched vertex */
if (touched[i] == 0) {
if (k == 0)
break;
else
k--;
}
}
queue[0] = i;
touched[i] = 1;
first = 0;
last = 1;
nleft--;
}
i = queue[first++];
if (pwgts[1]-vwgt[i] < oneminpwgt) {
drain = 1;
continue;
}
where[i] = 0;
INC_DEC(pwgts[0], pwgts[1], vwgt[i]);
if (pwgts[1] <= onemaxpwgt)
break;
drain = 0;
for (j=xadj[i]; j<xadj[i+1]; j++) {
k = adjncy[j];
if (touched[k] == 0) {
queue[last++] = k;
touched[k] = 1;
nleft--;
}
}
}
/*************************************************************
* Do some partition refinement
**************************************************************/
Compute2WayPartitionParams(ctrl, graph);
Balance2Way(ctrl, graph, ntpwgts);
FM_2WayRefine(ctrl, graph, ntpwgts, 4);
/* Construct and refine the vertex separator */
for (i=0; i<graph->nbnd; i++) {
j = bndind[i];
if (xadj[j+1]-xadj[j] > 0) /* ignore islands */
where[j] = 2;
}
Compute2WayNodePartitionParams(ctrl, graph);
FM_2WayNodeRefine2Sided(ctrl, graph, 1);
FM_2WayNodeRefine1Sided(ctrl, graph, 4);
/*
printf("ISep: [%"PRIDX" %"PRIDX" %"PRIDX" %"PRIDX"] %"PRIDX"\n",
inbfs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2], bestcut);
*/
if (inbfs == 0 || bestcut > graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
void GrowBisection(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, j, k, nvtxs, drain, nleft, first, last,
pwgts[2], oneminpwgt, onemaxpwgt,
from, me, bestcut=0, icut, mincut, inbfs;
idx_t *xadj, *vwgt, *adjncy, *where;
idx_t *queue, *touched, *gain, *bestwhere;
WCOREPUSH;
nvtxs = graph->nvtxs;
xadj = graph->xadj;
vwgt = graph->vwgt;
adjncy = graph->adjncy;
// adjwgt = graph->adjwgt;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = iwspacemalloc(ctrl, nvtxs);
queue = iwspacemalloc(ctrl, nvtxs);
touched = iwspacemalloc(ctrl, nvtxs);
onemaxpwgt = ctrl->ubfactors[0]*graph->tvwgt[0]*ntpwgts[1];
oneminpwgt = (1.0/ctrl->ubfactors[0])*graph->tvwgt[0]*ntpwgts[1];
for (inbfs=0; inbfs<niparts; inbfs++) {
iset(nvtxs, 1, where);
iset(nvtxs, 0, touched);
pwgts[1] = graph->tvwgt[0];
pwgts[0] = 0;
queue[0] = irandInRange(nvtxs);
touched[queue[0]] = 1;
first = 0;
last = 1;
nleft = nvtxs-1;
drain = 0;
/* Start the BFS from queue to get a partition */
for (;;) {
if (first == last) { /* Empty. Disconnected graph! */
if (nleft == 0 || drain)
break;
k = irandInRange(nleft);
for (i=0; i<nvtxs; i++) {
if (touched[i] == 0) {
if (k == 0)
break;
else
k--;
}
}
queue[0] = i;
touched[i] = 1;
first = 0;
last = 1;
nleft--;
}
i = queue[first++];
if (pwgts[0] > 0 && pwgts[1]-vwgt[i] < oneminpwgt) {
drain = 1;
continue;
}
where[i] = 0;
INC_DEC(pwgts[0], pwgts[1], vwgt[i]);
if (pwgts[1] <= onemaxpwgt)
break;
drain = 0;
for (j=xadj[i]; j<xadj[i+1]; j++) {
k = adjncy[j];
if (touched[k] == 0) {
queue[last++] = k;
touched[k] = 1;
nleft--;
}
}
}
/* Check to see if we hit any bad limiting cases */
if (pwgts[1] == 0)
where[irandInRange(nvtxs)] = 1;
if (pwgts[0] == 0)
where[irandInRange(nvtxs)] = 0;
/*************************************************************
* Do some partition refinement
**************************************************************/
Compute2WayPartitionParams(ctrl, graph);
/*
printf("IPART: %3"PRIDX" [%5"PRIDX" %5"PRIDX"] [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n",
graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut);
*/
Balance2Way(ctrl, graph, ntpwgts);
/*
printf("BPART: [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n", graph->pwgts[0],
graph->pwgts[1], graph->mincut);
*/
FM_2WayRefine(ctrl, graph, ntpwgts, ctrl->niter);
/*
printf("RPART: [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n", graph->pwgts[0],
graph->pwgts[1], graph->mincut);
*/
if (inbfs == 0 || bestcut > graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
void RandomBisection(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts,
idx_t niparts)
{
idx_t i, ii, j, k, nvtxs, pwgts[2], zeromaxpwgt, from, me,
bestcut=0, icut, mincut, inbfs;
idx_t *vwgt, *where;
idx_t *perm, *bestwhere;
WCOREPUSH;
nvtxs = graph->nvtxs;
// xadj = graph->xadj;
vwgt = graph->vwgt;
// adjncy = graph->adjncy;
// adjwgt = graph->adjwgt;
Allocate2WayPartitionMemory(ctrl, graph);
where = graph->where;
bestwhere = iwspacemalloc(ctrl, nvtxs);
perm = iwspacemalloc(ctrl, nvtxs);
zeromaxpwgt = ctrl->ubfactors[0]*graph->tvwgt[0]*ntpwgts[0];
for (inbfs=0; inbfs<niparts; inbfs++) {
iset(nvtxs, 1, where);
if (inbfs > 0) {
irandArrayPermute(nvtxs, perm, nvtxs/2, 1);
pwgts[1] = graph->tvwgt[0];
pwgts[0] = 0;
for (ii=0; ii<nvtxs; ii++) {
i = perm[ii];
if (pwgts[0]+vwgt[i] < zeromaxpwgt) {
where[i] = 0;
pwgts[0] += vwgt[i];
pwgts[1] -= vwgt[i];
if (pwgts[0] > zeromaxpwgt)
break;
}
}
}
/* Do some partition refinement */
Compute2WayPartitionParams(ctrl, graph);
/* printf("IPART: %3"PRIDX" [%5"PRIDX" %5"PRIDX"] [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n", graph->nvtxs, pwgts[0], pwgts[1], graph->pwgts[0], graph->pwgts[1], graph->mincut); */
Balance2Way(ctrl, graph, ntpwgts);
/* printf("BPART: [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */
FM_2WayRefine(ctrl, graph, ntpwgts, 4);
/* printf("RPART: [%5"PRIDX" %5"PRIDX"] %5"PRIDX"\n", graph->pwgts[0], graph->pwgts[1], graph->mincut); */
if (inbfs==0 || bestcut > graph->mincut) {
bestcut = graph->mincut;
icopy(nvtxs, where, bestwhere);
if (bestcut == 0)
break;
}
}
graph->mincut = bestcut;
icopy(nvtxs, bestwhere, where);
WCOREPOP;
}
